1.Вычислить. 1) -3\(\frac{1}{8}\) \(\cdot\) 16 2) -2,84 - 5,49 3) 2 - (-6) - 8 4) -2\(\frac{4}{15}\) : (-1,7) 5) 3\(\frac{3}{4}\) - 5\(\frac{1}{6}\)

Решение:

1. \(-3\frac{1}{8} \cdot 16 = -\frac{25}{8} \cdot 16 = -25 \cdot 2 = -50\)


2. \(-2,84 - 5,49 = -8,33\)


3. \(2 - (-6) - 8 = 2 + 6 - 8 = 8 - 8 = 0\)


4. \(-2\frac{4}{15} : (-1,7) = -\frac{34}{15} : (-\frac{17}{10}) = \frac{34}{15} \cdot \frac{10}{17} = \frac{2 \cdot 17}{3 \cdot 5} \cdot \frac{2 \cdot 5}{17} = \frac{2 \cdot 2}{3} = \frac{4}{3}\)


5. \(3\frac{3}{4} - 5\frac{1}{6} = \frac{15}{4} - \frac{31}{6} = \frac{45}{12} - \frac{62}{12} = -\frac{17}{12}\)

Ответ: 1) -50; 2) -8,33; 3) 0; 4) \(\frac{4}{3}\); 5) -\(\frac{17}{12}\).